ECE 110/Concept List/F22

List of concepts from each lecture in ECE_110 -- this is the Fall 2019 version.

Lecture 1

• Convert from Binary to Decimal from WikiHow
• Convert from Decimal to Binary from WikiHow
• What are minterms and maxterms from Quora (clearly I should have re-read this before class)
• Logic Gate Symbols from Wikipedia

Lecture 2

• Drawing logical schematics
• Gray code
• Karnaugh maps
• Minimum sum of products (optimize the 1s)
• Minimum product of sums (optimize the 0s then use DeMorgans twice to flip)

Lecture 3

• Circuit terms (Element, Circuit, Path, Branch and Essential Branch, Node and Essential Node, Loop and Mesh).
• Circuit topology (parallel, series)
• Electrical quantities (charge, current, voltage, power)
• Passive Sign Convention and Active Sign Convention and relation to calculating power absorbed and/or power delivered.

Lecture 4

• Sign convention redux
• Example of how to find $$i$$, $$v$$, and $$p_{\mathrm{abs}}$$
• $$i$$-$$v$$ characteristics of various elements (short circuit, open circuit, switch, ideal independent voltage source, ideal independent current source, resistor)
• How resistance is calculated $$R=\frac{\rho L}{A}$$
• Dependent sources (VCVS, VCCS, CCVS, CCCS)
• Deutsch

Lecture 5

• Kirchhoff's Laws
• Equivalent resistances; Examples/Req

Lecture 6

• Voltage and current division

Lecture 7

• Node Voltage Method
• Examples in Resources/Examples/Methods page on Sakai

Lecture 8

• Branch Current Method
• Mesh Current Method
• Examples in Resources/Examples/Methods page on Sakai

Lecture 9

• Linearity
  • Nonlinear system examples (additive constants, powers other than 1, trig):

$$\begin{align*} y(t)&=x(t)+1\\ y(t)&=(x(t))^n, n\neq 1\\ y(t)&=\cos(x(t)) \end{align*} $$

• • Linear system examples (multiplicative constants, derivatives, integrals):

$$\begin{align*} y(t)&=ax(t)\\ y(t)&=\frac{d^nx(t)}{dt^n}\\ y(t)&=\int x(\tau)~d\tau \end{align*} $$

• Superposition
  • Redraw the circuit as many times as needed to focus on each independent source individually
  • If there are dependent sources, you must keep them activated and solve for measurements each time

Lecture 10

• Thévenin and Norton Equivalents
• Circuits with independent sources, dependent sources, and resistances can be reduced to a single source and resistance from the perspective of any two nodes
• Equivalents are electrically indistinguishable from one another
• Several ways to solve

Lecture 11

• Intro to capacitors and inductors
• Basic physical models
• Basic electrical models
• Energy storage
• Continuity requirements
• DCSS equivalents

Lecture 12

• First-order switched circuits with constant forcing functions
• Sketching basic exponential decays

Lecture 13

• Sinusoids and characteristics of sin waves
• Complex numbers and representations (Cartesian, Polar, Euler)
• Basic mathematical operations with complex numbers

Lecture 14

• Test

Lecture 15

• AC Steady state
• Solving for single frequency sinusoidal forcing functions
• Phasor notation and analysis
• Transfer functions

Lecture 16

• More phasor analysis